Greatest Common Factor of 5203/404, 5851/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5203/404, 5851/253

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 5203/404,5851/253

Given fractions are 5203/404,5851/253

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5203,5851

Greatest Common Factor of Numerators i.e. GCF of 5203,5851 is 1 .

LCM of Denominators means LCM of 404,253 as per the given fractions.

LCM of 404,253 is 102212 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5203,5851

GCF of Fractions 5203/404,5851/253 is 1/102212

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5203,5851 By Matching Biggest Common Factor Method

Greatest Common Factor of 5203,5851 By Matching Biggest Common Factor Method

Factors of 5203

List of positive integer factors of 5203 that divides 5203 without a remainder.

1,11,43,121,473,5203

Factors of 5851

List of positive integer factors of 5851 that divides 5851 without a remainder.

1,5851

Greatest Common Factor

We found the factors 5203,5851 . The biggest common factor number is the GCF number.
So the greatest common factor 5203,5851 is 1.

Lets's calculate LCM of 404,253

Given numbers has no common factors except 1. So, there LCM is their product i.e 102212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102212

Therefore, the GCF of Fractions 5203/404,5851/253 is 1/102212

Least Common Multiple of 404,253 with GCF Formula

Least Common Multiple of 404,253 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 404,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,253) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(404,253) x common factors =1 x 1 = 1

LCM(404,253) = ( 404 × 253 ) / 1

LCM(404,253) = 102212 / 1

LCM(404,253) = 102212


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5203/404, 5851/253

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 5203/404, 5851/253?

Answer: GCF of Numerators as per given numbers 5203/404, 5851/253 is

GCF of Numerators i.e. for 5203,5851 is 1

LCM of denominators i.e. for 404,253 is 102212.

Thus, GCF of Fractions is 1/102212.Finally, GCF of Fractions for 5203/404, 5851/253 is 1/102212.